Geodesic
Distribution of cubic exponential sums
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 5, Tome 511 (2022), pp. 161-170 
N. V. Proskurin. Distribution of cubic exponential sums. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 5, Tome 511 (2022), pp. 161-170. http://geodesic.mathdoc.fr/item/ZNSL_2022_511_a5/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Some results on distribution of cubic additive exponential sums in finite fields are discovered by numerical experiments and proved. It is stated a conjecture on distribution of their absolute values.

[1] J.-P. Serre, “Majorations de sommes exponentielles”, Asterisque, 41–42, Société Mathématique de France, 1977, 111–126 | MR

[2] Springer–Verlag, 1995 | MR

[3] N. V. Proskurin, “O nekotorykh kubicheskikh eksponentsialnykh summakh”, Zap. nauchn. semin. POMI, 502, 2021, 122–132

[4] D. R. Heath-Brown, S. J. Patterson, “The distribution of Kummer sums at prime arguments”, Journal für die reine und angew. Math., 310 (1979), 111–130 | MR

[5] I. Schur, “Über den Zusammenhang zwische einem Problem der Zahlentheorie und einem Satz über algebraische Funktionen”, S.-B. Preuss. Akad. Wiss. Berlin, 1923, 123–134

[6] G. Turnwald, “On Schur's conjecture”, Journal Austral. Math. Soc. (Series A), 58 (1995), 312–357 | DOI | MR